Question

How many isosceles triangles with integer sides are possible such that sum of two of the side is 12?

• A. 16
• B. 17
• C. 24
• D. 2
• E. 23

Hint:

When dealing with triangle sides, always enforce the Triangle Inequality Theorem (\(a+b > c\), \(b+c > a\), \(c+a > b\)). For isosceles triangles, remember to split into two distinct cases: the sum involves the two identical sides, or the sum involves one identical side and the base.

Answer 1

The Correct Option is B